transmission_error.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
size_t d;
Float epsilon;
Float u (const point& x) {
Float x0 = (d <= 2) ? x[0] : x[1];
if (x0 < Float(0.5))
return x0*((1+3*epsilon)/(2*(1+epsilon)) - x0)/(2*epsilon);
else
return (1-x0)*(x0 + (1-epsilon)/(2*(1+epsilon)))/2;
}
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh;
din >> catchmark("epsilon") >> epsilon
>> catchmark("u") >> uh;
d = uh.get_geo().dimension();
space Xh = uh.get_space();
field pi_h_u = interpolate(Xh, u);
field eh = pi_h_u - uh;
trial u (Xh); test v (Xh);
form m = integrate (u*v);
derr << "error_linf " << eh.max_abs() << endl
<< "error_l2 " << sqrt(m(eh,eh)) << endl;
return (eh.max_abs() < error_linf_expected) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
point
see the point page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::field_basic::max_abs
T max_abs() const
Definition: field.h:731
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::Float
double Float
see the Float page for the full documentation
Definition: Float.h:143
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef.h
rheolef - reference manual
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26
epsilon
Float epsilon
Definition: transmission_error.cc:25
d
size_t d
Definition: transmission_error.cc:24
main
int main(int argc, char **argv)
Definition: transmission_error.cc:33